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2214584329 is a prime number
BaseRepresentation
bin1000001111111111…
…1110000000001001
312201100010112120211
42003333332000021
514013413144304
61003430121121
7105610441036
oct20377760011
95640115524
102214584329
11a37090a91
125197b01a1
13293a69a39
1417019638d
15ce64d204
hex83ffe009

2214584329 has 2 divisors, whose sum is σ = 2214584330. Its totient is φ = 2214584328.

The previous prime is 2214584269. The next prime is 2214584369. The reversal of 2214584329 is 9234854122.

2214584329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2214584369) can be obtained adding 2214584329 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2201767929 + 12816400 = 46923^2 + 3580^2 .

It is a cyclic number.

It is not a de Polignac number, because 2214584329 - 27 = 2214584201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2214584291 and 2214584300.

It is not a weakly prime, because it can be changed into another prime (2214584369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1107292164 + 1107292165.

It is an arithmetic number, because the mean of its divisors is an integer number (1107292165).

Almost surely, 22214584329 is an apocalyptic number.

It is an amenable number.

2214584329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2214584329 is an equidigital number, since it uses as much as digits as its factorization.

2214584329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 138240, while the sum is 40.

The square root of 2214584329 is about 47059.3702571550. The cubic root of 2214584329 is about 1303.4590971859.

The spelling of 2214584329 in words is "two billion, two hundred fourteen million, five hundred eighty-four thousand, three hundred twenty-nine".